The travelling salesman problem is to find a shortest path from the travelling salesman’s hometown, make the round of all the towns in the set, and finally go back home. This paper investigates the travelling salesman problem with fuzzy random travelling time. Three concepts are proposed: expected shortest path, (α, β)-path and chance shortest path according to different optimal desire. Corresp...

This paper presents an application to the multi-objective stochastic transportation problem in fuzzy environment. In this paper, we focus on our attention to multiobjective stochastic transportation problem involving an inequality type of constraints in which all parameters ( supply and demand ) are log-normal random variable and the objectives are non-commensurable and conflicting in nature. A...

In this work, we introduce a model which transforms a problem based on chance problem into perfect information. We apply the idea to the classical backgammon which becomes as rich and interesting as chess. We then program it by using fuzzy logic and obtain the performance results of the game.

On the basis of the possibility measure, necessity measure, credibility measure and probability measure, chance-constrained programming models are designed to treat optimization problems with stochastic and fuzzy parameters. Then, mathematical properties of different models, for instance, crisp equivalents of uncertain functions and constraints, are discussed on condition that parameters are un...

Data Mining is a new filed in data processing research. Support Vector Machine (SVM) is one of the new methods using in data mining, which has gained great applicable success. However, there are still plenty of limitations in SVM. For example, SVM won’t work if its training set contains uncertain information. In order to solve the problem presented above, this paper discusses the constraining p...

This paper considers a generalized fuzzy random version of bottleneck spanning tree problem in which edge costs are fuzzy random variables. The problem is to find an optimal spanning tree under chance constraint with respect to possibility measure of bottleneck (maximum cost) edge of spanning tree. The problem is first transformed into a deterministic equivalent problem. Then its subproblem is ...

Social networks are the areas in which a huge number of people are connected. In this paper, a new social network called fuzzy social network (FSN) has been introduced based on fuzzy graph. For this network, centrality, single and multi-bridges and transfer value of the bridges are newly defined and illustrated by examples. In this network, the strength of relationship can be graded by differen...

In this paper, a chance-constraint joint single vendor, single buyer supply chain problem with stochastic demand and fuzzy lead-time is investigated. The lead-time is lot size dependent; and delay times such as moving, waiting and setting time are fuzzy. The shortage costs result from backorder and/or lost sale, and the uncertain demand follows a uniform distribution. The buyer’s cost function ...

In this study, a fuzzy bi-level chance constraint programming (FBCP) model is developed for urban ecological management in Xiamen, China. FBCP has advantages balancing trade-offs between multiple decision makers and can address stochastic uncertainty ecosystem management. It also reflect the impact of different violation risk levels emission reduction measures on system benefit, service value, ...

For modelling imprecise data the literature offers two different methods: either the use of probability distributions or the use of fuzzy sets. In our opinion these two concepts should be used parallel or combined, dependent on the real situation. Moreover, in many economic problems the well-known probabilistic or fuzzy solution procedures are not suitable methods because neither the stochastic...